辽宁大学学报（自然科学版）2024，Vol.51Issue(4)：379-384,6.
应力张量与电四极矩的联系以及应力分析的新方法
The Relationship Between Stress Tensor and Electric Quadrupole Moment and a New Method for Stress Analysis
摘要
Abstract
By comparing stress with the distribution of small-scale charges,the stress tensor is connected with the electric quadrupole moment in the multipole expansion of electrostatic potential in this paper and therefore analysis methods can be applied to both of them in common.Based on the corresponding relationship between the electric quadrupole moment and the characteristic parameters of the electric quadrupole obtained from previous work,the components of the stress tensor can be represented by two vectors with equal magnitude.After solving the equations system to obtain these two vectors,parameters such as the principal stress and principal direction can be obtained.The new method has a relatively concise formula.A clear correspondence is showed between the principal stress and its direction.Transition is comprehensible from a three-dimensional stress problem to a two-dimensional stress problem.This method provides a new idea for stress analysis.关键词
应力分析/主应力/主方向/电四极矩Key words
stress analysis/principal stress/principal direction/electric quadrupole moment分类
数理科学引用本文复制引用
李一杰,张成园,石薇,许广智..应力张量与电四极矩的联系以及应力分析的新方法[J].辽宁大学学报（自然科学版）,2024,51(4):379-384,6.基金项目
国家自然科学基金(11705078) （11705078）
辽宁大学本科教学改革研究项目(JG2022BYLW004,JG2023ZSWT14) （JG2022BYLW004,JG2023ZSWT14）
辽宁大学研究生优质在线课程建设与教学模式综合改革研究项目(YJG202302096) （YJG202302096）
2023年度辽宁省研究生教育教学改革研究项目(LNYJG2023001) （LNYJG2023001）
